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Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions
(American Institute of Mathematical Sciences, 2021-07)
We study the decay/growth rates in all Lp norms of solutions to an inhomogeneousnonlocal heat equation in RN involving a Caputo -time derivative and a power of the Laplacianwhen the dimension is large, N > 4. Rates depend ...
SELF-SIMILARITY, SYMMETRIES AND ASYMPTOTIC BEHAVIOR IN MORREY SPACES FOR A FRACTIONAL WAVE EQUATION
(Khayyam Publ Co IncAthensEUA, 2012)
Explicit solutions for a non-classical heat conduction problem for a semi-infinite strip with a non-uniform heat source
(Springer, 2015-12)
A non-classical initial and boundary value problem for a non-homogeneous one-dimensional heat equation for a semi-infinite material with a zero temperature boundary condition is studied. It is not a standard heat conduction ...
Comparison Between Numerical Solutions of Fuzzy Partial Differential Equations via Interactive and Non-interactive Arithmetics: Application to the Heat Equation
(2022-01-01)
This paper provides a new numerical solution to partial differential equations, where the initial and boundary conditions are given by interactive fuzzy numbers. The interactivity considered here is the one obtained from ...
Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations
(Springer Verlag, 2018)
In this paper we consider second order optimality conditions for a bilinear optimal control problem governed by a strongly continuous semigroup operator, the control entering linearly in the cost function. We derive first ...
ON THE HEAT EQUATION WITH CONCAVE-CONVEX NONLINEARITY AND INITIAL DATA IN WEAK-L-p SPACES
(Amer Inst Mathematical SciencesSpringfieldEUA, 2011)
Numerical Solution for Fuzzy Partial Differential Equations with Interactive Fuzzy Boundary Conditions
(2022-01-01)
This paper presents a numerical method to solve fuzzy partial differential equations, where the initial and boundary conditions are given by interactive fuzzy numbers. Interactivity is a relationship between fuzzy numbers ...
UNSTABILITY OF THE STEADY SOLUTION OF A NONLINEAR REACTION-DIFFUSION EQUATION
(UNIV HOUSTON, 1991)
Equações diferenciais parciais: aplicações da equação do calor
(Universidade Tecnológica Federal do ParanáToledoBrasilLicenciatura em MatemáticaUTFPR, 2019-11-20)
This research deals with a study about the Partial Differential Equations (PDE's) focusing on the Heat Equation and its different contour conditions. Through a bibliographic research will be presented de finitions, ...